Construct the Indicated Confidence Interval for the Difference Between Population $47 \%$

Construct the indicated confidence interval for the difference between population proportions p1 - p2. Assume that the samples are independent and that they have been randomly selected.
-In a random sample of 300 women, $47 \%$ favored stricter gun control legislation. In a random sample of 200 men, $29 \%$ favored stricter gun control legislation. Construct a $98 \%$ confidence interval for the difference between the population proportions $\mathrm { p } _ { 1 } - \mathrm { p } _ { 2 }$ .

A) $0.092 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.268$
B) $0.080 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.280$
C) $0.069 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.291$
D) $0.095 < \mathrm { p } _ { 1 } - \mathrm { p } _ { 2 } < 0.265$